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Finding the Third Proportional to 120,672 and 180,774

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Solution

The third proportional to 120,672 and 180,774 is: 270,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,672 : 180,774 = 180,774 : x
  2. Step 2: Convert to fraction form
    120,672/180,774 = 180,774/x
  3. Step 3: Cross multiply
    120,672x = 180,774 × 180,774
  4. Step 4: Simplify right side
    120,672x = 32,679,239,076
  5. Step 5: Solve for x
    x = 32,679,239,076/120,672
  6. Step 6: Final answer
    x = 270,810.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.